question_answer

A cylinder of mass \[{{M}_{C}}\] and sphere of mass \[{{M}_{S}}\] are placed at points A and B of two inclines, respectively (see figure). If they roll on the incline without slipping such that their acceleration is the same, find the ratio of \[\frac{\sin {{\theta }_{C}}}{\sin {{\theta }_{S}}}\].

Answer:

15/14